Answer:
The simplest form of 50:30 is 53.
Step-by-step explanation:
Answer:
<u>Mass</u>
<u>Center of mass</u>
<em>Coordinate x</em>
<em>Coordinate y</em>
<em>Coordinate z</em>
Step-by-step explanation:
Let W be the wire. We can consider W=(x(t),y(t),z(t)) as a path given by the parametric functions
x(t) = t
y(t) = 4 cos(t)
z(t) = 4 sin(t)
for 0 ≤ t ≤ 2π
If D(x,y,z) is the density of W at a given point (x,y,z), the mass m would be the curve integral along the path W
The density D(x,y,z) is given by
on the other hand
and we have
The center of mass is the point
where
We have
so
The figure RQTS is a clockwise rotation of figure DEFC, then:
The image of CD is
Answer: Option C. RS
Answer:
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t
Step-by-step explanation:
Initial volume of hydrogen in the balloon = 5 ft³
Rate at which hydrogen is filling in the balloon = 0.1 ft³/s
Volume after 1 second = 5 + 0.1 x 1
Volume after 2 seconds = 5 + 0.1 x 2
Volume after 3 seconds = 5 + 0.1 x 3
Volume after 4 seconds = 5 + 0.1 x 4
Volume after 5 seconds = 5 + 0.1 x 5
Similarly
Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t